MathDB

A4

Part of 2012 Balkan MO Shortlist

Problems(1)

min and max of f (P) =\frac{PA + PB}{PC + PD}, where ABCD is a square

Source: 2012 Serbia EGMO TST p4

9/17/2018
Let ABCDABCD be a square of the plane PP. Define the minimum and the maximum the value of the function f:P→Rf: P \to R is given by f(P)=PA+PBPC+PDf (P) =\frac{PA + PB}{PC + PD}
geometryminimum valuemaximum value